Positive solutions of the periodic problems for quasilinear difference equation with sign-changing weight
Abstract We show the existence of positive solutions of the periodic problem of the quasilinear difference equation {−∇[ϕ(Δuk)]+qkuk=λgkf(uk),k∈T,u0=uT,u1=uT+1, $$\textstyle\begin{cases} -\nabla[\phi(\Delta u_{k})]+q_{k}u_{k}=\lambda g_{k}f(u_{k}),\quad k\in\mathbb {T},\\ u_{0}=u_{T}, \qquad u_{1}=u...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-10-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13662-018-1856-8 |